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Finding the Third Proportional to 7,332.19 and 17,720.44

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Solution

The third proportional to 7,332.19 and 17,720.44 is: 42,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.19 : 17,720.44 = 17,720.44 : x
  2. Step 2: Convert to fraction form
    7,332.19/17,720.44 = 17,720.44/x
  3. Step 3: Cross multiply
    7,332.19x = 17,720.44 × 17,720.44
  4. Step 4: Simplify right side
    7,332.19x = 314,013,905.19
  5. Step 5: Solve for x
    x = 314,013,905.19/7,332.19
  6. Step 6: Final answer
    x = 42,826.77

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.